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Finding the Fourth Proportional to 377,770.82, 521,324.97 and 205,690.82

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Solution

The fourth proportional to 377,770.82, 521,324.97 and 205,690.82 is: 283,854.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,770.82 : 521,324.97 = 205,690.82 : x
  2. Step 2: Convert to fraction form
    377,770.82/521,324.97 = 205,690.82/x
  3. Step 3: Cross multiply
    377,770.82x = 521,324.97 × 205,690.82
  4. Step 4: Simplify right side
    377,770.82x = 107,231,760,565.78
  5. Step 5: Solve for x
    x = 107,231,760,565.78/377,770.82
  6. Step 6: Final answer
    x = 283,854.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.